3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking
A (2 + 1)-dimensional variable coefficient Korteweg-de Vries (3D VCKdV) equation is first derived in this paper by means of introducing 2-dimensional space and time slow-varying variables and the multiple-level approximation method from the well-known barotropic and quasi-geostrophic potential vorti...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Meteorology |
| Online Access: | http://dx.doi.org/10.1155/2018/4329475 |
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| author | Juanjuan Ji Yecai Guo Lanfang Zhang Lihua Zhang |
| author_facet | Juanjuan Ji Yecai Guo Lanfang Zhang Lihua Zhang |
| author_sort | Juanjuan Ji |
| collection | DOAJ |
| description | A (2 + 1)-dimensional variable coefficient Korteweg-de Vries (3D VCKdV) equation is first derived in this paper by means of introducing 2-dimensional space and time slow-varying variables and the multiple-level approximation method from the well-known barotropic and quasi-geostrophic potential vorticity equation without dissipation. The exact analytical solution of the 3D VCKdV equation is obtained successfully by making use of CK’s direct method and the standard Zakharov–Kuznetsov equation. By some arbitrary functions and the analytical solution, a dipole blocking evolution process with twelve days’ lifetime is described, and the result illustrates that the central axis of the dipole is no longer perpendicular to the vertical direction but has a certain angle to vertical direction. The comparisons with the previous researches and Urals dipole blocking event demonstrate that 3D VCKdV equation is more suitable for describing the complex atmospheric blocking phenomenon. |
| format | Article |
| id | doaj-art-af66c4e5d43f480289a09922f9ed021f |
| institution | OA Journals |
| issn | 1687-9309 1687-9317 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Meteorology |
| spelling | doaj-art-af66c4e5d43f480289a09922f9ed021f2025-08-20T02:19:06ZengWileyAdvances in Meteorology1687-93091687-93172018-01-01201810.1155/2018/432947543294753D Variable Coefficient KdV Equation and Atmospheric Dipole BlockingJuanjuan Ji0Yecai Guo1Lanfang Zhang2Lihua Zhang3College of Atmospheric Science, School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, ChinaCollege of Atmospheric Science, School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, ChinaSchool of Physics and Electrical Engineering, Anqing Normal University, Anqing, Anhui 246133, ChinaSchool of Physics and Electrical Engineering, Anqing Normal University, Anqing, Anhui 246133, ChinaA (2 + 1)-dimensional variable coefficient Korteweg-de Vries (3D VCKdV) equation is first derived in this paper by means of introducing 2-dimensional space and time slow-varying variables and the multiple-level approximation method from the well-known barotropic and quasi-geostrophic potential vorticity equation without dissipation. The exact analytical solution of the 3D VCKdV equation is obtained successfully by making use of CK’s direct method and the standard Zakharov–Kuznetsov equation. By some arbitrary functions and the analytical solution, a dipole blocking evolution process with twelve days’ lifetime is described, and the result illustrates that the central axis of the dipole is no longer perpendicular to the vertical direction but has a certain angle to vertical direction. The comparisons with the previous researches and Urals dipole blocking event demonstrate that 3D VCKdV equation is more suitable for describing the complex atmospheric blocking phenomenon.http://dx.doi.org/10.1155/2018/4329475 |
| spellingShingle | Juanjuan Ji Yecai Guo Lanfang Zhang Lihua Zhang 3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking Advances in Meteorology |
| title | 3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking |
| title_full | 3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking |
| title_fullStr | 3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking |
| title_full_unstemmed | 3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking |
| title_short | 3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking |
| title_sort | 3d variable coefficient kdv equation and atmospheric dipole blocking |
| url | http://dx.doi.org/10.1155/2018/4329475 |
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